Least Common Multiple of 9166 and 9170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9166 and 9170 the smallest integer that is 42026110 that is divisible by both numbers.

Least Common Multiple (LCM) of 9166 and 9170 is 42026110.

LCM(9166,9170) = 42026110

LCM of 9166 and 9170

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9166 and 9170

LCM of 9166 and 9170 is 42026110

Least common multiple can be found by multiplying the highest exponent prime factors of 9166 and 9170. First we will calculate the prime factors of 9166 and 9170.

Prime Factorization of 9166


2 9166
4583 4583
1

Prime factors of 9166 are 2,4583. Prime factorization of 9166 in exponential form is:

9166 = 21×45831

Prime Factorization of 9170


2 9170
5 4585
7 917
131 131
1

Prime factors of 9170 are 2, 5, 7,131. Prime factorization of 9170 in exponential form is:

9170 = 21×51×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9166 and 9170.

LCM(9166,9170) = 21×51×71×1311×45831
LCM(9166,9170) = 42026110

Factors of 9166

List of positive integer factors of 9166 that divides 9166 without a remainder.

1, 2, 4583, 9166

Factors of 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170

Least Common Multiple of 9166 and 9170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9166 and 9170, than apply into the LCM equation.

GCF(9166,9170) = 2
LCM(9166,9170) = ( 9166 × 9170) / 2
LCM(9166,9170) = 84052220 / 2
LCM(9166,9170) = 42026110

Properties of LCM 9166 and 9170

(i) The LCM of 9170 and 9166 is associative

LCM of 9166 and 9170 = LCM of 9170 and 9166

Related Least Common Multiples of 9166

Related Least Common Multiples of 9170

Frequently Asked Questions on LCM of 9166 and 9170

1. What is the LCM of 9166 and 9170?

Answer: LCM of 9166 and 9170 is 42026110.

2. What are the Factors of 9166?

Answer: Factors of 9166 are 1, 2, 4583, 9166. There are 4 integers that are factors of 9166. The greatest factor of 9166 is 9166.

3. What are the Factors of 9170?

Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.

4. How to Find the LCM of 9166 and 9170?

Answer:

Least Common Multiple of 9166 and 9170 = 42026110

Step 1: Find the prime factorization of 9166

9166 = 2 x 4583

Step 2: Find the prime factorization of 9170

9170 = 2 x 5 x 7 x 131

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 42026110 = 2 x 5 x 7 x 131 x 4583

Step 4: Therefore, the least common multiple of 9166 and 9170 is 42026110.